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Finding the Third Proportional to 98,454.75 and 215,973.19

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Solution

The third proportional to 98,454.75 and 215,973.19 is: 473,765.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,454.75 : 215,973.19 = 215,973.19 : x
  2. Step 2: Convert to fraction form
    98,454.75/215,973.19 = 215,973.19/x
  3. Step 3: Cross multiply
    98,454.75x = 215,973.19 × 215,973.19
  4. Step 4: Simplify right side
    98,454.75x = 46,644,417,718.91
  5. Step 5: Solve for x
    x = 46,644,417,718.91/98,454.75
  6. Step 6: Final answer
    x = 473,765.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.